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SUMS OF PARTIAL THETA FUNCTIONS THROUGH AN EXTENDED BAILEY TRANSFORM

2020 ◽  
pp. 1-10
Author(s):  
MOHAMED EL BACHRAOUI
Keyword(s):  
Hypergeometric Series ◽  
Theta Functions ◽  
Main Tool ◽  
Extended Version ◽  
Bailey Transform ◽  
Partial Theta Functions

In this note, we evaluate sums of partial theta functions. Our main tool is an application of an extended version of the Bailey transform to an identity of Gasper and Rahman on $q$ -hypergeometric series.

A Note on the Bailey Transform, the Bailey Pair and the WP Bailey Pair and Their Applications

2018 ◽  
Vol 25 (3) ◽  
pp. 396-408 ◽  
Author(s):  
H. M. Srivastava ◽  
S. N. Singh ◽  
S. P. Singh ◽  
V. Yadav
Keyword(s):  
Bailey Transform

scholarly journals The Bailey transform and false theta functions

2007 ◽  
Vol 14 (1) ◽  
pp. 173-188 ◽  
Author(s):  
George E. Andrews ◽  
S. Ole Warnaar
Keyword(s):  
Theta Functions ◽  
False Theta Functions ◽  
Bailey Transform

THE BAILEY TRANSFORM AND D.B. SEARS

1999 ◽  
Vol 22 (1) ◽  
pp. 19-26 ◽  
Author(s):  
George E. Andrews ◽  
Douglas Bowman
Keyword(s):  
Bailey Transform

scholarly journals Consequences of the Al and Cl Bailey transform and Bailey lemma

1995 ◽  
Vol 139 (1-3) ◽  
pp. 319-346 ◽  
Author(s):  
Stephen C. Milne ◽  
Glenn M. Lilly
Keyword(s):  
Bailey Lemma ◽  
Bailey Transform

TheC ? Bailey transform and Bailey lemma

1993 ◽  
Vol 9 (4) ◽  
pp. 473-500 ◽  
Author(s):  
Gleen M. Lilly ◽  
Stephen C. Milne
Keyword(s):  
Bailey Lemma ◽  
Bailey Transform

scholarly journals The $\bal $\ and $\bcl $\ Bailey Transform and Lemma

1992 ◽  
Vol 26 (2) ◽  
pp. 258-264 ◽  
Author(s):  
Stephen C. Milne ◽  
Glenn M. Lilly
Keyword(s):  
Bailey Transform
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